f(x)= cos(2x) a= Tt f(x)= e* a = In 2 1 f(x) = a = 1 f(x)= Inx a = 3 %3D 8. Find the power series representation for a function with a center at 0 or at a, by either combining, differentiating or integrating a given function and Taylor Polynomial. 1 f(x)%D 4x12 f(x)= 1 f(x)%3D (1–x)' f (x) = In(1– 3x) or or %3D or 1+3x f (x)%= 3+x or %3D 9. Find the first 5 nonzero terms of the Taylor series centered at 0 for a given function, using the Binomial series formula for to generate the coefficients. Then use these terms to approximate a value. f(x) =(1+x)* 1 approximate (1.1)

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.